Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$open parentheses lim for n not stretchy rightwards arrow straight infinity of sum from r equals 1 to n of open square brackets 1 over 2 to the power of r close square brackets close parentheses to the power of m$ (Where [ ] denotes GIF) is equal to

0 for m $\in$ R
0 for m $>$ 0
$\infty$ for m $<$ 0
1 form = 0

The correct answer is:
1 form = 0

$lim for n not stretchy rightwards arrow straight infinity of open square brackets 1 half plus 1 over 2 squared plus midline horizontal ellipsis plus 1 over 2 to the power of n close square brackets equals lim for n not stretchy rightwards arrow straight infinity of open square brackets fraction numerator 1 half open parentheses 1 minus 1 over 2 to the power of n close parentheses over denominator 1 minus 1 half end fraction close square brackets$
$equals lim for n not stretchy rightwards arrow straight infinity of open square brackets 1 minus 1 over 2 to the power of n close square brackets equals 0 text as end text 1 over 2 to the power of n →∣ 0$

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.