{"id":5830,"date":"2024-01-09T10:50:26","date_gmt":"2024-01-09T05:20:26","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=5830"},"modified":"2024-01-10T16:07:38","modified_gmt":"2024-01-10T10:37:38","slug":"ts-inter-1st-year-maths-1b-solutions-chapter-8-ex-8b","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-inter-1st-year-maths-1b-solutions-chapter-8-ex-8b\/","title":{"rendered":"TS Inter 1st Year Maths 1B Solutions Chapter 8 Limits and Continuity Ex 8(b)"},"content":{"rendered":"

Students must practice these TS Inter 1st Year Maths 1B Study Material<\/a> Chapter 8 Limits and Continuity Ex 8(b) to find a better approach to solving the problems.<\/p>\n

TS Inter 1st Year Maths 1B Limits and Continuity 8(b)<\/h2>\n

Find the right and left hand limits of the functions in 1, 2, 3 of I and 1, 2 of II at the point ‘a’ mentioned against them. Hence, check whether the functions have limits at those a’s.<\/p>\n

I.
\nQuestion 1.
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

\"TS<\/p>\n

Question 2.
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

Question 3.
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

II.
\nQuestion 1.
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

Question 2.
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

\"TS<\/p>\n

Question 3.
\nShow that \\(\\lim _{x \\rightarrow 2^{-}} \\frac{|x-2|}{x-2}\\) = – 1 (V.S.A.Q.)
\nAnswer:
\nWe have x \u2192 2–<\/sup> means x < 2
\nWhen x < 2, |x – 2| = – (x – 2)
\n\"TS<\/p>\n

Question 4.
\nShow that \\(\\lim _{x \\rightarrow 0^{+}}\\left(\\frac{2|x|}{x}+x+1\\right)\\) = 3 (V.S.A.Q.)
\nAnswer:
\nAs x \u2192 0+<\/sup> means x > 0 and |x| = x if x > 0
\n\"TS<\/p>\n

Question 5.
\nCompute \\(\\lim _{x \\rightarrow 2^{+}}\\) and \\(\\lim _{x \\rightarrow 2^{-}}\\) ([x] + x) (S.A.Q.)
\nAnswer:
\n\"TS<\/p>\n

Question 6.
\nShow that \\(\\lim _{x \\rightarrow 0^{-}}\\) x3<\/sup> cos \\(\\left(\\frac{3}{x}\\right)\\) = 0 (V.S.A.Q.)
\nAnswer:
\n\"TS<\/p>\n

III.
\nQuestion 1.
\nFind \\(\\lim _{x \\rightarrow 0}\\) f(x) where (V.S.A.Q.)
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

\"TS<\/p>\n

Question 2
\n\"TS
\nAnswer:
\n\"TS<\/p>\n","protected":false},"excerpt":{"rendered":"

Students must practice these TS Inter 1st Year Maths 1B Study Material Chapter 8 Limits and Continuity Ex 8(b) to find a better approach to solving the problems. TS Inter 1st Year Maths 1B Limits and Continuity 8(b) Find the right and left hand limits of the functions in 1, 2, 3 of I and … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/5830"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=5830"}],"version-history":[{"count":6,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/5830\/revisions"}],"predecessor-version":[{"id":6135,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/5830\/revisions\/6135"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=5830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=5830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=5830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}